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Non-linear Fractal Interpolating Functions

R. Kobes·H. Letkeman
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Abstract

We consider two non-linear generalizations of fractal interpolating functions generated from iterated function systems. The first corresponds to fitting data using a Kth-order polynomial, while the second relates to the freedom of adding certain arbitrary functions. An escape-time algorithm that can be used for such systems to generate fractal images like those associated with Julia or Mandelbrot sets is also described.

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R. Kobes, H. Letkeman. 2001-12-07. Non-linear Fractal Interpolating Functions. https://arxiv.org/abs/nlin/0112010

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